Band structures of edge magnetoplasmon crystals

A two-dimensional electron gas in a static external magnetic field exhibits two distinct collective excitation modes. The lower frequency mode propagates along the periphery of domain almost freely with an extended lifetime, which is referred to as edge magnetoplasmons. Peculiar phenomena caused by capacitive interaction between nearest-neighbor domains are known, such emergence Tomonaga-Luttinger liquid and charge-density fractionalization. Meanwhile, number coupled investigated past has been limited small number. Here, we performed calculations using continuum model magnetoplasmons, band structures planar crystals composed arbitrary domains, including chain, ladder, honeycomb network, general strength. We explain terms fundamental modes molecule equivalent domains. These chiral propagation that yield linear dispersion standing wave localized regions cause flat band. chain's resemble miniband calculated from Kronig-Penney for semiconductor superlattice. point out geometrical deformation chain does not change it can be expressed gauge degree freedom only causes shift